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Finding the Fourth Proportional to 2,463.94, 3,695.92 and 732.70

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Solution

The fourth proportional to 2,463.94, 3,695.92 and 732.70 is: 1,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.94 : 3,695.92 = 732.70 : x
  2. Step 2: Convert to fraction form
    2,463.94/3,695.92 = 732.70/x
  3. Step 3: Cross multiply
    2,463.94x = 3,695.92 × 732.70
  4. Step 4: Simplify right side
    2,463.94x = 2,708,000.58
  5. Step 5: Solve for x
    x = 2,708,000.58/2,463.94
  6. Step 6: Final answer
    x = 1,099.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.